Question : Three bells ring at intervals of 36 seconds, 40 seconds, and 48 seconds, respectively. They start ringing together at a particular time. They will ring together after every:
Option 1: 6 minutes
Option 2: 12 minutes
Option 3: 18 minutes
Option 4: 24 minutes
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Correct Answer: 12 minutes
Solution : 36 = 3 × 3 × 2 × 2 40 = 2 × 2 × 2 × 5 48 = 2 × 2 × 2 × 2 × 3 So, LCM = 2 × 2 × 2 × 2 × 3 × 3 × 5 = 720 After 720 seconds, all bells ring simultaneously. Therefore, on converting seconds into minutes, we get $\frac{720}{60}$ = 12 minutes Hence, the correct answer is 12 minutes.
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Question : Three electronic devices make a beep every 48 seconds, 72 seconds and 108 seconds respectively. They beeped together at 10 a.m. The time when they will next make a beep together, at the earliest, is:
Option 1: 10: 07: 12 a.m
Option 2: 10: 07: 24 a.m
Option 3: 10: 07: 36 a.m
Option 4: 10: 07: 48 a.m
Question : In 6 minutes, $\frac{4}{13}$ of a bucket is filled. How much time will it take to fill the remaining bucket?
Option 1: 13 minutes 30 seconds
Option 2: 14 minutes 30 seconds
Option 3: 11 minutes 30 seconds
Option 4: 12 minutes 30 seconds
Question : A person from the top of a hill observes a vehicle moving towards him at a uniform speed. It takes 10 minutes for the angle of depression to change from $45^{\circ}$ to $60^{\circ}$. After this, the time required by the vehicle to reach the bottom of the hill is:
Option 1: 12 minutes 20 seconds
Option 2: 13 minutes
Option 3: 13 minutes 40 seconds
Option 4: 14 minutes 24 seconds
Question : Vinay and Mahesh are 250 metres apart from each other. They are moving toward each other at speeds of 36 km/hr and 54 km/hr respectively. In how much time will they meet each other?
Option 1: 12 seconds
Option 2: 20 seconds
Option 3: 10 seconds
Option 4: 15 seconds
Question : In a circular race of 4225 m, X and Y start from the same point and at the same time, at speeds of 54 km/hr and 63 km/hr, respectively. When will they meet again for the first time on the track, when they are running in opposite directions?
Option 1: 140 seconds
Option 2: 150 seconds
Option 3: 130 seconds
Option 4: 120 seconds
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